find the equation of a straight line which is parallel to the line with equation 5x+7y=14 and passes through a point (-2,-3)​

Answers

Answer 1

Answer:

[tex]7y=-5x-11[/tex]

Step-by-step explanation:

Since it says the lines are parallel both of their gradients will be same.

so gradient of line 1 = [tex]y=\frac{14-5x}{7}[/tex] = [tex]y=\frac{14}{7}-\frac{5x}{7}[/tex]= [tex]-\frac{5}{7}[/tex]

so equation of line 2 = [tex]y-y_{1}=m(x-x_{1} )[/tex]

                                   = [tex]y-(-3)_{}=\frac{-5}{7} (x-(-2)_{} )[/tex]

                                   = [tex]y +3=-\frac{5}{7}x+\frac{10}{7}[/tex]

                                   = [tex]y =-\frac{5x+10}{7}-3[/tex]

                                   = [tex]7y=-5x-11[/tex]

Answer 2

Step-by-step explanation:

basically a line equation typically looks like

y = ax + b

with a being the slope, and b bent the y-intercept (y value when x = 0).

5x + 7y = 14

7y = -5x + 14

y = -5/7 x + 14/7 = -5/7 x + 2

so, wie know the slope of the original line : -5/7 .

any line parallel to it must have the same slope.

our desired line looks like

y = -5/7 x + b

to get b we use the provided point (-2, -3).

-3 = -5/7 × -2 + b = 10/7 + b

-21/7 = 10/7 + b

-31/7 = b

and the full equation is

y = -5/7 x - 31/7

7y = -5x - 31

5x + 7y = -31


Related Questions

Put a circle round the largest number and a square round the smallest number in estha
a) 8 -7 -4 0 7
b) -9 1 0 -1 -4
C) -4 -8 -3. -7 -2

Answers

Answer:

A 406 of answer your question please sorry

what is the product of 237 and 962?

Answers

Answer:

227994

Step-by-step explanation:

Answer:

value x value = product

237 x 962 = product = 227,994

Step-by-step explanation:

hope this helps,

What is 4 – 12? −16 −8 8 16
please help

Answers

Answer: -8

Step-by-step explanation:

work out
3/7 + 9/11
Give your answer as an improper fraction

Answers

Answer:

60/77 the answer is not able to be an improper fraction

Step-by-step explanation:

3/7+9/11

33/77+27/77

60/77

What is the range? ???????

Answers

Answer:

the difference between the highest and lowest values in a set of numbers.

Step-by-step explanation:

At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in
the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the
corresponding terms in the third column. Then graph the ordered pairs

Answers

Answer: Attached photos, and the last question of my explanation.

Step-by-step explanation: If "bracelets cost $3 and necklaces cost $6"  that means we will multiply.

1. for Bracelets (1 bracelet = $3)

(0 x 3 = 0) 1. $0

(1 x 3 = 3) 2. $3

(2 x 3= 6) 3. $6

(3 x 3 = 9) 4. $9

(3 x 4 = 12) 5. $12

Explanation: We have to multiply 5 different numbers to fill in the 5 rows of bracelets & necklaces. (0,1,2,3,4 = 5 numbers). For example, if we buy 2 bracelets, 1 bracelet = $3 and 3*2=6 so it would be 6.

2. for Necklaces (1 necklace equals $6)

(0 x 6 = 0) 1. $0

(1 x 6 = 6) 2. $6

(6 x 2 = 12) 3. $12

(6 x 3 = 18) 4.  $18

(6 x 4 = 24) 5. $24

3. coordinates

1. (0,0)

2. (3,6)

3. (6,12)

4. (9,18)

5. (12,24)

Putting the coordinate pairs on the graphs: the first number is x and the second is y.

4. I displayed a photo of what the chart, and graph should look like.

5. What is the relationship between the corresponding terms in the two sequences: The second sequence is the product of multiplying sequence 1 and sequence 2.

the greatest common factor of 3x^4-12x^2

Answers

Answer:

3x^2

Step-by-step explanation:

3x^4-12x^2

Factoring out 3x^2

3x^2 ( x^2 -4)

We can factor (x^2-4) since it is the difference of squares

3x^2 ( x-2) (x+2)

The greatest common factor is 3x^2

hello!

Let's find the G.C.F. (Greatest Common Factor) of 3x⁴-12x².

The key words here are "common" and "greatest".

Here are some common factors:-

3

3x

3x²

x

And the greatest common factor is:-

3x²

[If Necessary]

Factor it out by dividing the terms in the polynomial by the GCF:-

4

Subtract the terms:-

(x²-4)

And put the G.C.F. outside the parentheses:

3x²(x²-4)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

A linear function is represented below.


Which function has a greater y-intercept than the function in the table?

A. y = 4x

B. y = –2x

C. y = –x – 1

D. y = –0.5x + 5


here is the chart it wouldn't let me do a screenshot:

X, Y
-2,-6
0 0
3 9

Answers

Solution:

D. y = –0.5x + 5

In this chart, the slope, (m):

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]

[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]

[tex]\hookrightarrow \sf 3[/tex]

Equation:

[tex]\sf y_1-y= m(x_1-x)[/tex]

[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]

[tex]\hookrightarrow \sf y+6= 3x+6[/tex]

[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]

[tex]\hookrightarrow \sf y= 3x[/tex]  

⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0

A = y-intercept : 0B = y-intercept : 0C = y-intercept : -1D = y-intercept : 5

From this D only has the greatest y-intercept than the chart.

Answer:

D

Step-by-step explanation:

Sorry if I'm late for the party, hope this helps anyways! :)

In the figure below, m || n and t is a transversal line. If ∠7 = x +14 and ∠1 = 2x -8, what is ∠4?

Answers

∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 =  2x - 8

(if u need a specific number)

∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8

∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180

-> 3x + 6 = 180
x = (180-6)/3 = 58.

Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.

i) Given that a = 1, b = 3, c = 7, evaluate abc

Answers

Given ↓ The expression abca = 1b = 3c = 7To Find ↓The value of the expression abc

Calculations ↓Instead of a write 1 :1bcInstead of b write 3 :1*3cInstead of c write 7 :1*3*7Multiply :1*2121

Evaluated expression ↓21

Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED

Answers

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

Steps:-

First rewriteThen convert to fractionsThen divide both

[tex]\\ \rm\rightarrowtail 5:8::7;9[/tex]

[tex]\\ \rm\rightarrowtail 5/8:7/9[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{5(9)}{8(9)}:\dfrac{7(8)}{9(8)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{45}{72}:\dfrac{56}{72}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{45}{56}[/tex]

Second one is bigger

Graph the function using the graphing calculator. find the least positive value of t at which the pendulum is in the center. t = sec to the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.

Answers

The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24

The graph of the function

The function is given as:

y = 6cos(πt)

See attachment for the graph of the function

The least positive value of t

The value of t is given as: -0.5

From the attached graph, the smallest value of the function when t = -0.5 is 0.

Hence, the least value of the function at which the pendulum is in the center is 0.

The position of the pendulum when t = 4.25 sec.

We have:

y = 6cos(πt)

Substitute 4.25 for t

y = 6cos(4.25π)

Evaluate

y = 4.24

Hence, the position of the pendulum when t = 4.25 sec. is 4.24

#SPJ1

Read more about cosine function at:

https://brainly.com/question/10078563

Answer:

t = 6

next one is 5

Step-by-step explanation:

~Hope this helps! :)

Hello please help me this question I don’t know how to do it
Thx

Answers

Ans: b^4

Explanation:
4(2)=8
add exponents =b^5
8b^5/8b
b^4

lmk if u need clarification

67 x=?
Please help!

Answers

90 + 67 + x = 180
57 + x = 180

x = 23

A garden store purchased a lawn mower and marked it up 160% from the original cost of $82.67. A week later, the store placed the lawn mower on sale for 10% off. What was the discount price?

Answers

The discount price of the lawn mower purchased by the store is  $193.45.

What is the discount price?

The first step is to determine the selling price of the lawn mower.

Selling price = ( 1 + 1.60) x $82.67 = 214.94

Now determine the price after the discount has been applied.

Discount price = (1 - 0.1) x 214.94 = $193.45

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

The Speed of the machine boat is 150 km per hour. How far does the machine boat go in five and a half hours?

Answers

Answer:

825km

Step-by-step explanation:

150km/h= distance/11/2 hours

150km/h divide by 11/2 hours

=825km

Answer:

825km

Step-by-step explanation:

We have the rule: speed=distance/time

in this question you are asked to calculate the distance covered by the machine boat.

so we deduce from the above rule: distance=speed*time

Given: speed=150km/hr    time=5.5hr   distance=??

Solution: distance=150x5.5 = 825km

I dont like math it is really really hard

Answers

Answer:

well yeah no one likes math i mean unless you mark zuckerberg

Step-by-step explanation:

The cubic root of 400 lies between which two numbers?​

Answers

Answer:

Let x = cube root of 400

Using a calculator x = 7.368 to 3 decimal places

So: 7 < x < 8

Which expressions are equivalent to In e?

Answers

Answer:

1

log 10

Step-by-step explanation:

In e = 1

In e = log 10

Hope it helps you in your learning process.

find the inverse of function of a function g=((a,1),(b,2),(2,3),(d,4))​

Answers

Answer:

g inverse = (1,a),(2,b),(c,3),(4,d)

Step-by-step explanation:

I think the third part of the question should be (c,3) not (2,3)

if it's (2,3) then the inverse becomes (3,2)

Answer:

Inverse of function g = {(1,a),(2,b),(3,2),(4,d)}

Step-by-step explanation:

Hey there! :)

Please see an explanation below for better understanding to the answer - also let me know if you have any questions!

What is Inverse Function?

Inverse Function is a function that swaps domain and range.

What are domain and range?

Domain is the set of all x-values while Range is the set of all y-values, can be defined in coordinate point as (x,y).

Steps

If (x,y) is an original function then (y,x) will be an inverse function of original.

We are given the function g = {(a,1),(b,2),(2,3),(d,4)} - swap the domain and range.

Therefore, the inverse of function g is [tex]\displaystyle \large{g^{-1}}[/tex] = {(1,a),(2,b),(3,2),(4,d)}

A triangle has sides of length 6 8 and 10. Do the sides form A Pythagorean triple? Explain

Answers

6*6=36 + 8*8=64
36+64 and 10*10 =100
B is correct

Which statement describes the value of the expression below?
67x1/6

Answers

[tex] \frak{ \dfrac{67}{6} }[/tex]

Answer: 33.5

Step-by-step explanation:

Which of the following number CANNOT represent the probability of an event?

A. 0.888
B. 0
C. 4.2
D. 0.39

Answers

Answer:

c
4.2 would mean a 420% chance of something happening which doesnt make sense

The number 4.2 cannot represent the probability of an event because it is greater than one.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of an event must be less than or equal to one.

So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.

0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.

4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.

0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.

Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ7

Kira ran 8 1/5 miles in 69 7/10 minutes. What is Kira’s average time per mile?

Answers

Answer:

1 mile = 8.5 minutes

Step-by-step explanation:

Determining the equation:

Kira ran 8 1/5 miles in 69 7/10 minutes.

⇒ Kira = 8 1/5 miles = 69 7/10 minutes

⇒ 41/5 miles = 697/10 minutes

Simplifying both sides:

⇒ 41/5 miles = 697/10 minutes

⇒ 41 miles = 697/2 minutes

Using cross multiplication:

⇒ 41 × 2 miles = 697 minutes

⇒ 82 miles = 697 minutes

Dividing 82 both sides:

⇒ 82 miles = 697 minutes

⇒ 82/82 miles = 697/82 minutes

1 mile = 8.5 minutes

4.289 rounded to the nearest tenth

Answers

4.3 is your answer :)

15 times a number plus 42 is greater than 7



please help!

Answers

Answer: equation would be 15x+42>7

Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3

show work!!

What value of x makes the equation 33x=11 true

33x=11

Answers

the answer would be: x=1/3
x= 1/3 would make the equation true

What geometric shapes can you draw that have exactly four pairs of perpendicular sides? Use

pencil and paper. Sketch examples for as many different types of shapes as you can.

Which of these types of geometric shapes can have exactly four pairs of perpendicular sides?

Select all that apply.

A. Triangle

B. Parallelogram

OC. Rectangle

D. Regular pentagon

Answers

Answer:

rectangle

it has four perpendicular sides

each perpendicular is 90degree

Answer: Rectangle and square

Step-by-step explanation: They both have four right angles

The circumference of a circle is 44π cm. find the diameter, the radius, and the length of an arc of 110.

Answers

Answer:

Step-by-step explanation:

Solve for p show work
8p-3=13

Answers

hello!

First, add 3 to both sides:-

[tex]\sf{8p=13+3}[/tex]

[tex]\sf{8p=16}[/tex]

Now, divide both sides by 8:-

[tex]\bigstar{\boxed{\pmb{p=2}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

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